All categories

2 years ago

Is the given number a solution of the equation? c = 2c – 4; 8

1 answer:

5 0

Try it.
8 =? 2*8 - 4
8 =? 16 - 4
8 =? 12

8 is not a solution of the original equation

Try 4
4 = 2*4 - 4
4 = 8 - 4
4 = 4 and yes 4 works.

4 is unique. No other solution will work.

You might be interested in

What is the solution to 39/45 - 2/3

julia-pushkina [17]

Answer:

0.2

Step-by-step explanation:

just subtract

4 0

2 years ago

Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

Proof:

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

3 0

2 years ago

What is the solution to the system of equations 2x + 3y = 40 and y = x + 10? oy - y - 12

marissa [1.9K]

Answer:

hope this is correct

4 0

2 years ago

You roll a number cube.

Elis [28]

The answer would be, overlapping.

4 0

3 years ago

Read 2 more answers

Kevin is a quarterback on the football team.he completed 36 passes during the season.his second-string replacement,Mark complete

anastassius [24]

36 × $\frac{2}{9}$

Since 9 is a factor of 36 you can reduce the 36 to 4 and the 9 to one

Then just multiply what is left

4 × 2 = 8

So, Mark completed 8 passes.

3 0

2 years ago